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We study the spectrum of the minimal supersymmetric extension of theCarroll-Field-Jackiw model for Electrodynamics with a topologicalChern-Simons-like Lorentz-symmetry violating term. We identify a number ofindependent background fermion condensates, work out the gaugino dispersionrelation and propose a photonic effective action to consider aspects ofconfinement induced by the SUSY background fermion condensates, which alsoappear to signal Lorentz-symmetry violation in the photino sector of theaction. Our calculations of the static potential are carried out within theframework of the gauge-invariant but path-dependent variables formalism whichare alternative to the Wilson loop approach. Our results show that theinteraction energy contains a linear term leading to the confinement of staticprobe charges.

The photino sector and a confining potential in a supersymetric Lorentz-symmetry-violating model